Archive:: Pure and Applied Mathematics Journal:: Science Publishing Group

Volume 3, Issue 2, April 2014

Alternative Tools of Statistical Analysis: L-moments and TL-moments of Probability Distributions

Diana Bílková

Issue: Volume 3, Issue 2, April 2014

Pages: 14-25

Received: 22 March 2014

Accepted: 10 April 2014

Published: 20 April 2014

DOI: 10.11648/j.pamj.20140302.11

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Abstract: Moments and cumulants are commonly used to characterize the probability distribution or observed data set. The use of the moment method of parameter estimation is also common in the construction of an appropriate parametric distribution for a certain data set. The moment method does not always produce satisfactory results. It is difficult to determ... Show More

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On the System Analysis of the Foundations of Trigonometry

Temur Z. Kalanov

Issue: Volume 3, Issue 2, April 2014

Pages: 26-39

Received: 28 March 2014

Accepted: 18 April 2014

Published: 30 April 2014

DOI: 10.11648/j.pamj.20140302.12

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Abstract: Analysis of the foundations of standard trigonometry is proposed. The unity of formal logic and of rational dialectics is methodological basis of the analysis. It is shown that the foundations of trigonometry contradict to the principles of system approach and contain formal-logical errors. The principal logical error is that the definitions of tri... Show More

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A Convex Hull’ Characterization

Franco Fineschi, Giovanni Quaranta

Issue: Volume 3, Issue 2, April 2014

Pages: 40-48

Received: 11 April 2014

Accepted: 7 May 2014

Published: 20 May 2014

DOI: 10.11648/j.pamj.20140302.13

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Abstract: Conditions so that a vector belongs to a convex hull are obtained. Multilinear convex functions are considered. If these maps are defined on a convex set, it is obtained the algebraic expression. As an application, infinite games, with linear convex payoff, are studied.

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